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23916961152 = 273372141233
BaseRepresentation
bin10110010001100011…
…111101110110000000
32021201210222111211000
4112101203331312000
5342440220224102
614553131252000
71504453546500
oct262143756600
967653874730
1023916961152
11a1635569a7
1247758aa000
132342043a26
14122c5c1a00
1594ea8c01c
hex5918fdd80

23916961152 has 192 divisors, whose sum is σ = 82113447600. Its totient is φ = 6833369088.

The previous prime is 23916961129. The next prime is 23916961163. The reversal of 23916961152 is 25116961932.

23916961152 is a `hidden beast` number, since 23 + 9 + 1 + 6 + 9 + 611 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 23916961098 and 23916961107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98728 + ... + 239960.

Almost surely, 223916961152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23916961152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41056723800).

23916961152 is an abundant number, since it is smaller than the sum of its proper divisors (58196486448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23916961152 is a wasteful number, since it uses less digits than its factorization.

23916961152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141270 (or 141245 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The spelling of 23916961152 in words is "twenty-three billion, nine hundred sixteen million, nine hundred sixty-one thousand, one hundred fifty-two".